At the rotating part, if you go along one of the edges, every-other one doesn't go right to the edge, so you just have avoid every-other one. It's hard to really prevent getting hit since you can't stop, but you can try to look at the aoes appearing under it and aim diagonal left or right in the direction most likely to avoid them, and sometimes this will work or the timing will line up to get through them all.

Some of it is anticipating where the aoe pattern will be when you actually cross over it and it snapshots, rather than what you see prior to spinning through it.